Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 51
a A ABC, a = 77 mm, 6 = 90 mm and c = 123mm. Find the distances from C to the points oftrisection of AB. (31. In a right-angled triangle a rectilineal figuredescribed on the hypotenuse equals the sum of thesimilar and similarly described figures on the othertwo sides. ABC is a A rt.-Zd at C and… … Y •• Z AC2~ AB and =- BC2~ AB2 X + YZ AC2+BC2AB2 But AC2 + BC2 = AB2. .. X + Y = Z. Prove this theorem by drawing a J_ from C to ABand using the theorem:—If three st. lines are incontinued proportion, as the first is to the third so isany polygon on the first to the similar and similarlydescribed…
Geometry · Geometry, Analytic
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